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Margin of Error: What to Know for Statistics

While you are learning statistics, you will often have to focus on a sample rather than the entire population. This is because it is extremely costly, difficult and time-consuming to study the enti

Confidence Intervals: What to Know for Statistics

Here, in particular, you would be learning about confidence intervals – what is a confidence interval, what is the process of constructing confidence intervals, the difference between one-sided c

How to use Stokes’ Theorem

Stokes’ Theorem is about tiny spirals of circulation that occurs within a vector field (F). The vector field is on a surface (S) that is piecewise-smooth. Additionally, the surface is bounded by

How to Use the Gradient Theorem of Line Integrals

The goal of this article is to introduce the gradient theorem of line integrals and to explain several of its important properties. In the first section, we will present a short interpretation of v

Interquartile Range: What to Know for Statistics

In this article, you will learn about some of the useful concepts in statistics like quartiles and the Interquartile Range (IQR). These concepts allow graphical representation of several probabilit

How to Use the Divergence Theorem

In this review article, we’ll give you the physical interpretation of the divergence theorem and explain how to use it. After you practice our examples, you’ll feel confident operating

Histogram: What to Know for Statistics

In this tutorial we will discuss situations where a histogram is an excellent choice for representing data. We will also discuss the different parts of a histogram, how to make a histogram and how

Defining Laplace Transformations in Differential Equations

Laplace transformations are one of the most powerful tools for solving linear differential equations with constant coefficients. In these notes, we’ll review basic properties of Laplace trans

What to Know about Eigenvalues and Eigenvectors

In these eigenvalues and eigenvectors notes, we’ll review some results from linear algebra that are important for studying differential equations. Here, you will find the definitions and meth

Derivative of Lnx (Natural Log) Proof Review

An exponential function and the inverse to it, the natural logarithm ln(x), both play an important role in single variable calculus.To understand the properties of these functions it is necessary t

How to Use the Arc Length Formula in Differential Equations

In this article we will take an old formula, the formula for arc length of curves in the plane, and adapt it for use with vector functions in 3 dimensions. We begin with a brief review of the arc l

Inverse Laplace Transforms: A Differential Equations Review

Laplace transforms are important tools for us to use when solving linear differential equations. The Laplace transform is a relation of the form – As we can see, the Laplace transformation co

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